Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

This activity shows how reading a mathematics problem three times, with a different focus question each time, can help students make sense of a problem.

## 3D Figures/Isometric Dot Paper

Draw three-dimensional figures on two-dimensional isometric dot paper. Try holding the cubes in different orientations so you can see the possibilities in both the three-dimensional "real world" and the two-dimensional representations on paper.

## Arrays and Fractions

What opportunities for learning are offered by having students work on a problem using both arrays and fractions? Decide whether or not using an array is the best way to solve a problem.

## Decorative Boxes

Students need to cover 24 boxes with decorative paper. Observe as they use geometry and measurement to determine the area of one box in order to estimate the total amount of paper needed.

## Ferris Wheel

Observe as the students diagram the facts of the problem. They then identify and graph the relevant functions to represent the motion around a Ferris wheel.

## Fish Derby

Students have to calculate the optimal number of bass and carp that a pond can support. They determine and graph information about feeding and breeding areas and solve an algebraic equation to get optimal numbers.

## Group Test Parabola

Graph the sequence and find the equation of the curve. Solve the equation to determine the value of the 100th term of the sequence.

## Journal

Answer the journal prompts, including reflections from the workshops and your own classroom. The journal (requires a login) will save your entries for 120 days after you register. However, you can print or transfer your entries to your own computer.

## Location Graphs

Consider two graphs representing the number of people present at two different locations over the course of the day. Interpret the graphs to guess the locations.

## Making Sense of Mathematics Text

In this activity, explore different protocols for making sense of mathematical text that meet the needs of your students.

## Measuring Ant Tunnels

Students have used three non-standard measuring tools to estimate the length of an ant tunnel. Think about the problem-solving aspect of this activity as you compare their estimates.

Apply the reasoning and proof standard to a problem based on the Fraction Tracks game. Observe as students use a linear model as well as hands-on materials to solve the same problem.

## Representations of an Infinite Series

What are some different ways to represent the sum of consecutive powers of 1/2; that is, 1/2 + 1/4 + 1/8 + 1/16 + ..., etc? Explore physical, numeric, geometric and symbolic representations and consider how you represent math in your own mind.

## Representing Different Styles of Data

This activity explores how to interpret different styles of representing data, focusing on data related to the thinning ozone layer.

## Sampling Data

There are 20 chips in a container, some are red and some are blue. Take out a few chips and then, based on the chips selected, try to determine how many of each are in the container.

## Scaling the Area of a Community Garden

Calculate the area of a rectangle and a triangle as you change one or both of their dimensions. While looking at representations of several different rectangles and triangles, represent your findings in a table and determine if there is a pattern.

Each of three groups of students tried to figure out how five people can share eight cookies. Observe as the groups comes up with very different solutions.

## Sorting Buttons

Buttons with various characteristics need sorting. Solve using one-circle, two-circle and three-circle Venn diagrams.

## Tangram Puzzle

Move, rotate and flip seven shapes to form a square. As you work, think about the geometry connections included in the task of making this tangram square.

## A Typical Week

Explore several representations of how you spend your time during a typical week and compare them to those of another teacher. Which representations are easier to compare?